From the Complete Yang Model to Snyder's Model, de Sitter Special Relativity and Their Duality
نویسندگان
چکیده
منابع مشابه
De Sitter Special Relativity
A special relativity based on the de Sitter group is introduced. Like ordinary special relativity, it retains the quotient character of spacetime, and consequently a notion of homogeneity. This means that the underlying spacetime will be a de Sitter spacetime, the quotient space between de Sitter and the Lorentz groups. Since the local symmetry will also be given by the de Sitter group, each ta...
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The main consequences of de Sitter Special Relativity to the Standard Model of Physical Cosmology are examined. The cosmological constant Λ appears, in this theory, as a manifestation of the proper conformal current, which must be added to the usual energy–momentum density. As that conformal current itself vanishes in absence of sources, Λ is ultimately dependent on the matter content, and can ...
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In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that includ...
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The formalism of Fantappié-Arcidiacono Projective General Relativity –also known as De Sitter Relativityhas recently been revised in order to make possible cosmological models with expansion, similarly to ordinary Friedmann cosmology formulated within the context of General Relativity. In this article, several consequences of interest in the current cosmological debate are examined and discusse...
متن کاملThe massive Elko spinor field in the de Sitter braneworld model
The Elko spinor field is a spin 1/2 fermionic quantum field with a mass dimension introduced as a candidate of dark matter. In this work, we study the localization of Elko fields on a de Sitter thick brane constructed by a canonical or phantom scalar field. By presenting the mass-independent potentials of Kaluza-Klein (KK) modes in the corresponding Schrödinger equations, it is shown that the E...
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ژورنال
عنوان ژورنال: Chinese Physics Letters
سال: 2008
ISSN: 0256-307X,1741-3540
DOI: 10.1088/0256-307x/25/8/005